102121111313221 has 64 divisors (see below), whose sum is σ = 137547684642816. Its totient is φ = 73221445843200.

The previous prime is 102121111313213. The next prime is 102121111313261. The reversal of 102121111313221 is 122313111121201.

It is a cyclic number.

It is not a de Polignac number, because 102121111313221 - 2³ = 102121111313213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121111313192 and 102121111313201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121111313261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701901535 + ... + 702047011.

It is an arithmetic number, because the mean of its divisors is an integer number (2149182572544).

Almost surely, 2^{102121111313221} is an apocalyptic number.

102121111313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121111313221 is a deficient number, since it is larger than the sum of its proper divisors (35426573329595).

102121111313221 is a wasteful number, since it uses less digits than its factorization.

102121111313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147722.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 102121111313221 its reverse (122313111121201), we get a palindrome (224434222434422).

The spelling of 102121111313221 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, three hundred thirteen thousand, two hundred twenty-one".